jen,paula, and sarah spent the weekend decorating a neighbors house. They earned $500.00 between them. When it came to dividing the money, paula had worked three times harder than jen and sarah had worked twice as hard as paula. If the money was divided fairly and according to how hard each person worked, how much money did they each receive. Need an answer as soon as possible
jen 50.00
paula 150.00
sarah 300.00
P = 3J
S = 2P
S + J + P = 500
2P + P/3 + P = 500
10/3 P = 500
P = 150
You are right.
if $50 is what Jen gets then $50 times 3=$150 is what Paula gets and $150 times 2=$300is what Sarah gets also $50+$150=$200 and $500-$200=$300 left
To figure out how much money each person received, we need to determine the ratios of their effort.
Let's start by assigning a value to Jen's effort. Let's say Jen's effort is represented by x.
Based on the information given, Paula worked three times harder than Jen. Therefore, Paula's effort is 3x.
Similarly, Sarah worked twice as hard as Paula. So Sarah's effort is 2 * 3x, which is equal to 6x.
Now we can add up their efforts: x + 3x + 6x = 10x.
We know that these three individuals earned a total of $500. To determine how much each person received, we divide the total earnings by the total effort:
Amount received by Jen = (Jen's effort/Total effort) * Total earnings = (x/10x) * $500
Amount received by Paula = (Paula's effort/Total effort) * Total earnings = (3x/10x) * $500
Amount received by Sarah = (Sarah's effort/Total effort) * Total earnings = (6x/10x) * $500
Simplifying the expressions:
Amount received by Jen = (1/10) * $500 = $50
Amount received by Paula = (3/10) * $500 = $150
Amount received by Sarah = (6/10) * $500 = $300
Therefore, Jen received $50, Paula received $150, and Sarah received $300.